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Finding the Fourth Proportional to 78,654.60, 117,953.28 and 34,270.56

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Solution

The fourth proportional to 78,654.60, 117,953.28 and 34,270.56 is: 51,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.60 : 117,953.28 = 34,270.56 : x
  2. Step 2: Convert to fraction form
    78,654.60/117,953.28 = 34,270.56/x
  3. Step 3: Cross multiply
    78,654.60x = 117,953.28 × 34,270.56
  4. Step 4: Simplify right side
    78,654.60x = 4,042,324,959.44
  5. Step 5: Solve for x
    x = 4,042,324,959.44/78,654.60
  6. Step 6: Final answer
    x = 51,393.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.